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Popular >

|u-4|<3

Solution

∣ u - 4 ∣ < 3

Solution

1 < u < 7

+1

Interval Notation

(1, 7)

Solution steps

∣ u - 4 ∣ < 3

Apply absolute rule: If

∣ u ∣ < a, a > 0

then

- a < u < a

- 3 < u - 4 < 3

u - 4 > - 3 and u - 4 < 3

u > 1 and u < 7

Merge Overlapping Intervals

1 < u < 7

Popular Examples

4 x^{2} = 24 x

(3x-1)/8-(2x+7)/6 =(5x)/9

\frac{3 x - 1}{8} - \frac{2 x + 7}{6} = \frac{5 x}{9}

simplify sqrt((16u^3v)/(uv^5))simplify

\frac{16 u ^{3} v}{u v ^{5}}

simplify (-2)/3+\sqrt[4]{1/16}*149 simplify

simplify 8/11*154 simplify

\frac{8}{11} \cdot 154

Frequently Asked Questions (FAQ)

What is |u-4|<3 ?
The solution to |u-4|<3 is 1<u<7